(b)A box of 20 biscuits contains 4 different chocolate biscuits, 2 different oatmeal biscuits and 14 different ginger biscuits. 6 biscuits are selected from the box at random. (b) 一盒 20 块饼干包含 4 种不同的巧克力饼干、2 种不同的燕麦饼干和 14 种不同的姜饼。从盒子中随机选择 6 块饼干。
(i)Find the number of different selections that include the 2 oatmeal biscuits. (i) 查找包括 2 种燕麦饼干的不同选择的数量。 qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad
(ii)Find the probability that fewer than 3 chocolate biscuits are selected. (ii) 求选择少于 3 块巧克力饼干的概率。 qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad
2 A new village social club has 10 members of whom 6 are men and 4 are women.The club committee will consist of 5 members. 2 一个新的乡村社交俱乐部有 10 名成员,其中 6 名男性和 4 名女性。俱乐部委员会将由 5 名成员组成。
(a)In how many ways can the committee of 5 members be chosen if it must include at least 2 men and at least 1 woman? (a)如果必须包括至少 2 名男性和至少 1 名女性,那么 5 名成员的委员会可以通过多少种方式选择? qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad
The 10 members of the club stand in a line for a photograph. 俱乐部的 10 名成员站成一排拍照。
(b)How many different arrangements are there of the 10 members if all the men stand together and all the women stand together? (b)如果所有男性都站在一起,所有女性都站在一起,那么 10 名成员有多少种不同的安排? qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad